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题名: HIGH-ORDER GENERATORS OF LIE-ALGEBRAS AND HIGH-ORDER CENTRAL EXTENSIONS
作者: CHENG, JH ;  WU, K
刊名: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
出版日期: 1994
卷号: 27, 期号:10, 页码:L317-L321
学科分类: Physics
通讯作者: CHENG, JH , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA.
部门归属: CCAST,WORLD LAB,BEIJING 100080,PEOPLES R CHINA
英文摘要: High-order generators of Lie algebras are defined and their basic properties are discussed in this letter. In 'classical' cases, the high-order generators are simply the enveloping algebras of Lie algebras, while, in 'quantum' cases, we can define the high-order central extensions of (infinite-dimensional) Lie algebras and can see that the high-order generators wr no longer the enveloping algebras of Lie algebras. As an example, we calculate the first-high-order central extensions of Virasoro algebras and find that the first-order and usual-order central extensions are closely related to each other.
收录类别: SCI
原文出处: 查看原文
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/11906
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Recommended Citation:
CHENG, JH,WU, K. HIGH-ORDER GENERATORS OF LIE-ALGEBRAS AND HIGH-ORDER CENTRAL EXTENSIONS[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,1994,27(10):L317-L321.
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